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Finding the Fourth Proportional to 6,537.22, 9,796.47 and 5,069.50

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Solution

The fourth proportional to 6,537.22, 9,796.47 and 5,069.50 is: 7,596.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.22 : 9,796.47 = 5,069.50 : x
  2. Step 2: Convert to fraction form
    6,537.22/9,796.47 = 5,069.50/x
  3. Step 3: Cross multiply
    6,537.22x = 9,796.47 × 5,069.50
  4. Step 4: Simplify right side
    6,537.22x = 49,663,204.67
  5. Step 5: Solve for x
    x = 49,663,204.67/6,537.22
  6. Step 6: Final answer
    x = 7,596.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.